Isomorph invariance of dynamics of sheared glassy systems

We study hidden scale invariance in the glassy phase of the Kob-Andersen binary Lennard-Jones system.
After cooling below the glass transition, we generate a so-called isomorph from the fluctuations of potential
energy and virial in the NVT ensemble: a set of density, temperature pairs for which structure and dynamics
are identical when expressed in appropriate reduced units. To access dynamical features, we shear the system
using the SLLOD algorithm coupled with Lees-Edwards boundary conditions and study the statistics of stress
fluctuations and the particle displacements transverse to the shearing direction. We find good collapse of the
statistical data, showing that isomorph theory works well in this regime. The analysis of stress fluctuations, in
particular the distribution of stress changes over a given strain interval, allows us to identify a clear signature of
avalanche behavior in the form of an exponential tail on the negative side. This feature is also isomorph invariant.
The implications of isomorphs for theories of plasticity are discussed briefly.